100 LearnersLast updated on May 26th, 2025
Factors of 67
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 67, how they are used in real life, and tips to learn them quickly.
What are the Factors of 67?
The numbers that divide 67 evenly are known as factors of 67. A factor of 67 is a number that divides the number without remainder. The factors of 67 are 1 and 67. Negative factors of 67: -1 and -67. Prime factors of 67: 67 (since 67 is a prime number itself). The sum of factors of 67: 1 + 67 = 68
How to Find Factors of 67?
Factors can be found using different methods. Mentioned below are some commonly used methods: Finding factors using multiplication Finding factors using the division method Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 67. Identifying the numbers which are multiplied to get the number 67 is the multiplication method. Step 1: Multiply 67 by 1, 67 × 1 = 67. Since 67 is a prime number, there are no other pairs. Therefore, the positive factor pairs of 67 are: (1, 67). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by whole numbers until the remainder becomes zero and listing the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method - Step 1: Divide 67 by 1, 67 ÷ 1 = 67. Step 2: As 67 is a prime number, no other whole number divisions will result in a whole number until 67 ÷ 67 = 1. Therefore, the factors of 67 are: 1 and 67.
Prime Factors and Prime Factorization
The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods: Using prime factorization Using a factor tree Using Prime Factorization: Since 67 is a prime number, it cannot be broken down further into other prime factors. Therefore, 67 is its own prime factor.
Factor Tree
A factor tree is the graphical representation of breaking down any number into prime factors. For 67, since it is a prime number, the factor tree is simple: 67 67 is a prime number, so it cannot be broken down further. Factor Pairs Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs. Positive factor pairs of 67: (1, 67). Negative factor pairs of 67: (-1, -67).
Common Mistakes and How to Avoid Them in Factors of 67
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself. For example, in factors of 67, 1 and 67 are also factors.
Factors of 67 Examples
Problem 1
There are 67 students and 1 teacher. How can the teacher divide the students into equal groups?
The teacher can have 1 group of 67 students or 67 groups of 1 student each.
Explanation
To divide the students equally, the teacher can only use the factors of 67, which are 1 and 67.
Problem 2
A farmer has 67 apple trees and wants to plant them in such a way that each row has the same number of trees. What are his options?
The farmer can plant 1 row of 67 trees or 67 rows of 1 tree each.
Explanation
To plant the trees equally, the farmer can only use the factor pairs of 67, which are (1, 67).
Problem 3
A library has 67 books and wants to arrange them on shelves. How many ways can the library do this evenly?
The library can place all 67 books on one shelf or place 1 book on each of 67 shelves.
Explanation
The library can arrange the books using the factors of 67, which are 1 and 67.
FAQs on Factors of 67
1.What are the factors of 67?
2.Mention the prime factors of 67.
3.Is 67 a multiple of 2?
4.Mention the factor pairs of 67?
5.What is the square of 67?
6.How can children in United States use numbers in everyday life to understand Factors of 67?
7.What are some fun ways kids in United States can practice Factors of 67 with numbers?
8.What role do numbers and Factors of 67 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 67 skills?
Important Glossaries for Factors of 67
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 67 are 1 and 67. Prime factors: The factors which are prime numbers. For example, 67 is the prime factor of itself. Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 67 is (1, 67). Prime Number: A number greater than 1 with no divisors other than 1 and itself. For example, 67 is a prime number. Negative Factors: Negative counterparts of the factors. For example, the negative factors of 67 are -1 and -67.
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About BrightChamps in United States
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
